120216513600 has 252 divisors, whose sum is σ = 430403753364. Its totient is φ = 31823216640.

The previous prime is 120216513589. The next prime is 120216513607. The reversal of 120216513600 is 6315612021.

120216513600 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 1 + 6 + 51 + 3 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10729645056 + 109486868544 = 103584^2 + 330888^2 .

It is not an unprimeable number, because it can be changed into a prime (120216513607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1942332 + ... + 2003268.

Almost surely, 2^120216513600 is an apocalyptic number.

120216513600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120216513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215201876682).

120216513600 is an abundant number, since it is smaller than the sum of its proper divisors (310187239764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120216513600 is a wasteful number, since it uses less digits than its factorization.

120216513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61102 (or 61084 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 120216513600 in words is "one hundred twenty billion, two hundred sixteen million, five hundred thirteen thousand, six hundred".